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Finding the Fourth Proportional to 14,218.12, 19,594.02 and 10,232.20

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Solution

The fourth proportional to 14,218.12, 19,594.02 and 10,232.20 is: 14,101.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,218.12 : 19,594.02 = 10,232.20 : x
  2. Step 2: Convert to fraction form
    14,218.12/19,594.02 = 10,232.20/x
  3. Step 3: Cross multiply
    14,218.12x = 19,594.02 × 10,232.20
  4. Step 4: Simplify right side
    14,218.12x = 200,489,931.44
  5. Step 5: Solve for x
    x = 200,489,931.44/14,218.12
  6. Step 6: Final answer
    x = 14,101.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.